Finding the Third Proportional to 79,974 and 185,141

Step by Step Solution

1. Step 1: Write the proportion equation
   79,974 : 185,141 = 185,141 : x
2. Step 2: Convert to fraction form
   79,974/185,141 = 185,141/x
3. Step 3: Cross multiply
   79,974x = 185,141 × 185,141
4. Step 4: Simplify right side
   79,974x = 34,277,189,881
5. Step 5: Solve for x
   x = 34,277,189,881/79,974
6. Step 6: Final answer
   x = 428,604.17